SU(2) and SU(1,1) Y-Maps in Loop Quantum Gravity
General Relativity and Quantum Cosmology
2021-08-12 v4 Mathematical Physics
math.MP
Abstract
In this paper we first provide the proof of Y-Map convergence. Then, by using LQG simplicity constraints we define Y-Map from infinitely differentiable with a compact support functions on to the functions (not necessarily square integrable) on , and prove its convergence as well.
Cite
@article{arxiv.1906.06806,
title = {SU(2) and SU(1,1) Y-Maps in Loop Quantum Gravity},
author = {Leonid Perlov},
journal= {arXiv preprint arXiv:1906.06806},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1509.01312